Closure operators in the categories of modules. Part I (Weakly hereditary and idempotent operators)
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Closure operators in the categories of modules. Part I (Weakly hereditary and idempotent operators)
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| Creator |
Kashu, A.I.
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| Description |
In this work the closure operators of a category of modules R-Mod are studied. Every closure operator C of R-Mod defines two functions F₁с and F₂с, which in every module M distinguish the set of C-dense submodules F₁с(M) and the set of C-closed submodules F₂с(M). By means of these functions three types of closure operators are described: 1) weakly hereditary; 2) idempotent; 3) weakly hereditary and idempotent.
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| Date |
2019-06-09T15:31:29Z
2019-06-09T15:31:29Z 2013 |
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| Type |
Article
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| Identifier |
Closure operators in the categories of modules. Part I (Weakly hereditary and idempotent operators) / A.I. Kashu // Algebra and Discrete Mathematics. — 2013. — Vol. 15, № 2. — С. 213–228. — Бібліогр.: 10 назв. — англ.
1726-3255 2010 MSC:16D90, 16S90, 06B23. http://dspace.nbuv.gov.ua/handle/123456789/152290 |
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| Language |
en
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| Relation |
Algebra and Discrete Mathematics
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| Publisher |
Інститут прикладної математики і механіки НАН України
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